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149233776 = 24389181193
BaseRepresentation
bin10001110010100…
…10000001110000
3101101210212020220
420321102001300
5301200440101
622450333040
73461315616
oct1071220160
9341725226
10149233776
11772695aa
1241b8a180
1324bc1213
1415b696b6
15d17c636
hex8e52070

149233776 has 80 divisors (see below), whose sum is σ = 394037280. Its totient is φ = 48660480.

The previous prime is 149233741. The next prime is 149233801. The reversal of 149233776 is 677332941.

149233776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773136 + ... + 773328.

It is an arithmetic number, because the mean of its divisors is an integer number (4925466).

Almost surely, 2149233776 is an apocalyptic number.

149233776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149233776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197018640).

149233776 is an abundant number, since it is smaller than the sum of its proper divisors (244803504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149233776 is a wasteful number, since it uses less digits than its factorization.

149233776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 149233776 is about 12216.1277007078. The cubic root of 149233776 is about 530.4230347460.

The spelling of 149233776 in words is "one hundred forty-nine million, two hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 181 193 267 356 362 386 534 543 579 712 724 772 1068 1086 1158 1424 1448 1544 2136 2172 2316 2896 3088 4272 4344 4632 8688 9264 16109 17177 32218 34354 34933 48327 51531 64436 68708 69866 96654 103062 104799 128872 137416 139732 193308 206124 209598 257744 274832 279464 386616 412248 419196 558928 773232 824496 838392 1676784 3109037 6218074 9327111 12436148 18654222 24872296 37308444 49744592 74616888 149233776